Answer:
*Replace each "x" with the required numbers .
1) g (14) ; Ans;
![g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28](https://tex.z-dn.net/?f=%20g%28x%29%20%3D%202x%20%5C%5C%20g%2814%29%20%3D%202%2814%29%20%20%5C%5C%20g%2814%29%3D%2028%20)
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2) f (-8) ; Ans;
![f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%2B%203%20%5C%5C%20f%28%20-%208%29%20%3D%20%20-%208%20%2B%203%20%5C%5C%20f%28%20-%208%29%20%3D%20%20-%205)
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3) j (3) ; Ans;
![j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1](https://tex.z-dn.net/?f=j%28x%29%20%3D%20%28%20-%201%29%5E%7Bx%20%2B%202%7D%20%20%5C%5C%20j%283%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7B3%20%2B%202%7D%20%20%5C%5C%20j%283%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7B5%7D%20%20%5C%5C%20j%283%29%20%3D%20%20-%201)
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4) h (4) ; Ans;
![h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%20%7B3%7D%5E%7Bx%7D%20%20%5C%5C%20h%284%29%20%3D%20%20%7B3%7D%5E%7B4%7D%20%20%5C%5C%20h%284%29%20%3D%2081)
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5) f (2.8) ; Ans;
![f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%2B%203%20%5C%5C%20f%282.8%29%20%3D%202.8%20%2B%203%20%5C%5C%20f%282.8%29%20%3D%205.8)
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6) j(-5) ; Ans;
![j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1](https://tex.z-dn.net/?f=j%28x%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7Bx%20%2B%202%7D%20%20%5C%5C%20j%28%20-%205%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7B%20-%205%20%2B%202%7D%20%20%5C%5C%20j%28%20-%205%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7B%20-%203%7D%20%20%5C%5C%20%20%5C%5C%20j%28%20-%205%29%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B%28%20-%201%29%7D%5E%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20j%28%20-%205%29%20%3D%20%20%20%5Cfrac%7B1%7D%7B%20-%201%7D%20%20%5C%5C%20%20%5C%5C%20j%28%20-%205%29%20%3D%20%20-%201)
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7) g(3/4); Ans;
![g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5](https://tex.z-dn.net/?f=g%28x%29%20%3D%202x%20%5C%5C%20%20%5C%5C%20g%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%20%3D%202%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%20%5C%5C%20%20%5C%5C%20g%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20g%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%20%3D%201.5)
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8) [h(6.2)]² ; Ans;
![h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%20%7B3%7D%5E%7Bx%7D%20%20%5C%5C%20h%286.2%29%20%3D%20%20%7B3%7D%5E%7B6.2%7D%20%5C%5C%20h%286.2%29%20%3D%20908.13785497%20%20%5C%5C%20%20%5C%5C%20%20%7B%28h%286.2%29%29%7D%5E%7B2%7D%20%20%3D%20%20%28%7B3%7D%5E%7B6.2%7D%29%5E%7B2%7D%20%20%5C%5C%20%20%20%7B%28h%286.2%29%29%7D%5E%7B2%7D%20%20%3D%20824714.36364715)
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9) j(2) + g(-3) ; Ans;
![j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5](https://tex.z-dn.net/?f=j%28x%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7Bx%20%2B%202%7D%20%20%5C%5C%20j%282%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7B2%20%2B%202%7D%20%20%5C%5C%20j%282%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7B4%7D%20%20%5C%5C%20j%282%29%20%3D%201%20%5C%5C%20%20%5C%5C%20g%28x%29%20%3D%202x%20%5C%5C%20g%28%20-%203%29%20%3D%202%28%20-%203%29%20%5C%5C%20g%28%20-%203%29%20%3D%20%20-%206%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20j%28x%29%20%2B%20g%28x%29%20%5C%5C%20j%282%29%20%2B%20g%28%20-%203%29%20%20%5C%5C%201%20%2B%20%28%20-%206%29%20%5C%5C%201%20-%206%20%20%5C%5C%20j%282%29%20%2B%20g%28%20-%203%29%20%3D%20%20-%205)
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10) h(1) - f(-10) ; Ans;
![h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%20%7B3%7D%5E%7Bx%7D%20%20%5C%5C%20h%281%29%20%3D%20%20%7B3%7D%5E%7B1%7D%20%20%5C%5C%20h%281%29%20%3D%203%20%5C%5C%20%20%5C%5C%20f%28x%29%20%3D%20x%20%2B%203%5C%5C%20%20f%28%20-%2010%29%20%3D%20%20-%2010%20%2B%203%20%5C%5C%20f%28%20-%2010%29%20%3D%20%20-%207%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20h%28x%29%20-%20f%28x%29%20%5C%5C%20h%281%29%20-%20f%28%20-%2010%29%20%5C%5C%203%20-%20%28%20-%207%29%20%5C%5C%203%20%2B%207%20%5C%5C%20%20%3D%2010%20%5C%5C%20h%281%29%20-%20f%28%20-%2010%29%20%3D%2010)
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**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .
***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .
<u>Table (1) Ans;</u>
f(4) = <u> –3</u>
f(-2) = <u>– 6</u>
If f(x)= -3 ,then x = <u>4</u>
If f(x) = 1 , then x = <u>3</u>
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<u>Table (2) Ans; </u>
f(4) = <u>–7</u>
f(-2) = <u>1</u>
If f(x)= -3 ,then x = <u>0</u>
If f(x) = 1 , then x = <u>- 2</u>
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<u>Table (3)Ans;</u>
f(4) = <u>7</u>
f(-2) = <u>3</u>
If f(x)= -3 ,then x = <u>6</u>
If f(x) = 1 , then x = <u>0</u>
I hope I helped you^_^
I have no idea
But if you have her info, let her know how much she means to you and see if she can meet up with you or something
If you don’t have her info, try getting her number or social media from anyone else that might know
And I’d recommend waiting proposing to someone till after education/school (Depending on the age OfC).
But that’s totally up to you guys
And good luck btw!
One, not a question you should ask here.
Two, choose yourself, it's your life, take advantage of it.
<h3>
Answer: Choice D. 4^2+5^2 = x^2</h3>
See note at the bottom
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The entire building is 20 feet. Fifteen feet of that is from the ground to the first landing of the stairs or fire escape. So 20-15 = 5 feet represents the height of the second set of stairs (leading to the roof of the building)
The base of the triangle is 4 feet as shown in the diagram. The height is 5 feet as found in the prior paragraph. Use the pythagorean theorem to say
a^2 + b^2 = c^2
4^2 + 5^2 = x^2
Note: If you meant to write 4^2+5^2 = x^2 for choice D, then that would be the answer. Otherwise, there is a typo somewhere.
Yes any ratio can be written as a unit rate i think just wait till the next person comments ! i hope im right